From the 1 of 6 linked papers with an AI index.
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A slicing approach to stress-strain duality
Virginia De Cicco, Giovanni Scilla
The classical Kohn-Temam stress-strain pairing for symmetric tensors and is typically formulated under summability assumptions on the…
Gauss-Green formulas for divergence measure tensor fields on rough domains
Virginia De Cicco, Giovanni Scilla
The paper defines a pairing between bounded tensor fields with divergence measure and BV vector functions, introduces a notion of normal trace on rectifiable sets, and proves Gauss…
On the divergence of the composition of irregular fields with BV functions
Graziano Crasta, Virginia De Cicco, Annalisa Malusa
We introduce a family of (nonlinear) pairing measures that ensure the validity of the divergence rule for composite functions , where $\boldsymbol{B}(\cdot,…
Beyond : new pairings and Gauss-Green formulas for measure fields with divergence measure
Giovanni Eugenio Comi, Virginia De Cicco, Giovanni Scilla
A new notion of pairing between measure vector fields with divergence measure and scalar functions, which are not required to be weakly differentiable, is introduced. In particular…